Question

What should be added to $(\frac{1}{2}+\frac{1}{3}+\frac{1}{5})$ to get $3$?

Answer 1

Let $x$ be the number which added to $(\frac{1}{2}+\frac{1}{3}+\frac{1}{5})$ to get $3$.

$\Rightarrow \frac{1}{2}+\frac{1}{3}+\frac{1}{5}+x=3$

$\Rightarrow \frac{15+10+6}{30}+x=3$

$\Rightarrow \frac{31}{30}+x=3$

$\Rightarrow x=3-\frac{31}{30}$

$\Rightarrow x=\frac{90-31}{30}$

$\Rightarrow x=\frac{59}{30}$

$\Rightarrow x=1\frac{29}{30}$